Question

Which of the following statements is/are true? A Taylor Series is always centered at $x = 0$. $\sin(\frac{\pi}{7}) = \frac{\pi}{7} - \frac{(\frac{\pi}{7})^3}{3!} + \frac{(\frac{\pi}{7})^5}{5!} - \frac{(\frac{\pi}{7})^7}{7!} + \frac{(\frac{\pi}{7})^9}{9!}$ A Taylor Polynomial is a finite series, while a Taylor Series is an infinite series. The partial sums of the Taylor Series are the Taylor Polynomials. $\sin(6) = 6 - \frac{6^3}{3!} + \frac{6^5}{5!} - \frac{6^7}{7!} + \frac{6^9}{9!} - ...$

          Which of the following statements is/are true?
A Taylor Series is always centered at $x = 0$.
$\sin(\frac{\pi}{7}) = \frac{\pi}{7} - \frac{(\frac{\pi}{7})^3}{3!} + \frac{(\frac{\pi}{7})^5}{5!} - \frac{(\frac{\pi}{7})^7}{7!} + \frac{(\frac{\pi}{7})^9}{9!}$
A Taylor Polynomial is a finite series, while a Taylor Series is an infinite series.
The partial sums of the Taylor Series are the Taylor Polynomials.
$\sin(6) = 6 - \frac{6^3}{3!} + \frac{6^5}{5!} - \frac{6^7}{7!} + \frac{6^9}{9!} - ...$

Which of the following statements is/are true?
A Taylor Series is always centered at x = 0.
sin((π)/(7)) = (π)/(7) - (((π)/(7))^3)/(3!) + (((π)/(7))^5)/(5!) - (((π)/(7))^7)/(7!) + (((π)/(7))^9)/(9!)
A Taylor Polynomial is a finite series, while a Taylor Series is an infinite series.
The partial sums of the Taylor Series are the Taylor Polynomials.
sin(6) = 6 - (6^3)/(3!) + (6^5)/(5!) - (6^7)/(7!) + (6^9)/(9!) - ...

Added by Daniela G.

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